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Finding the Fourth Proportional to 3,646.95, 5,032.90 and 2,075.14

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Solution

The fourth proportional to 3,646.95, 5,032.90 and 2,075.14 is: 2,863.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.95 : 5,032.90 = 2,075.14 : x
  2. Step 2: Convert to fraction form
    3,646.95/5,032.90 = 2,075.14/x
  3. Step 3: Cross multiply
    3,646.95x = 5,032.90 × 2,075.14
  4. Step 4: Simplify right side
    3,646.95x = 10,443,972.11
  5. Step 5: Solve for x
    x = 10,443,972.11/3,646.95
  6. Step 6: Final answer
    x = 2,863.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.